%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM617+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 14:28:10 EDT 2022
% Result : Theorem 0.97s 1.14s
% Output : Refutation 0.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 5 RR)
% Number of literals : 6 ( 0 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(34,axiom,
aElementOf0(xx,xQ),
file('NUM617+3.p',unknown),
[] ).
cnf(36,axiom,
~ aElementOf0(xx,szNzAzT0),
file('NUM617+3.p',unknown),
[] ).
cnf(103,axiom,
( ~ aElementOf0(u,xQ)
| aElementOf0(u,szNzAzT0) ),
file('NUM617+3.p',unknown),
[] ).
cnf(505,plain,
~ aElementOf0(xx,xQ),
inference(res,[status(thm),theory(equality)],[103,36]),
[iquote('0:Res:103.1,36.0')] ).
cnf(523,plain,
$false,
inference(mrr,[status(thm)],[505,34]),
[iquote('0:MRR:505.0,34.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM617+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jul 6 09:02:06 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.97/1.14
% 0.97/1.14 SPASS V 3.9
% 0.97/1.14 SPASS beiseite: Proof found.
% 0.97/1.14 % SZS status Theorem
% 0.97/1.14 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.97/1.14 SPASS derived 23 clauses, backtracked 0 clauses, performed 0 splits and kept 375 clauses.
% 0.97/1.14 SPASS allocated 104539 KBytes.
% 0.97/1.14 SPASS spent 0:00:00.79 on the problem.
% 0.97/1.14 0:00:00.04 for the input.
% 0.97/1.14 0:00:00.67 for the FLOTTER CNF translation.
% 0.97/1.14 0:00:00.00 for inferences.
% 0.97/1.14 0:00:00.00 for the backtracking.
% 0.97/1.14 0:00:00.04 for the reduction.
% 0.97/1.14
% 0.97/1.14
% 0.97/1.14 Here is a proof with depth 1, length 5 :
% 0.97/1.14 % SZS output start Refutation
% See solution above
% 0.97/1.14 Formulae used in the proof : m__5348 m__ m__5106
% 0.97/1.14
%------------------------------------------------------------------------------